Howtosignalprocessing
- How do you calculate impulse response from output?
- How do you find the frequency response output?
- Is frequency response the same as impulse response?
How do you calculate impulse response from output?
Given the system equation, you can find the impulse response just by feeding x[n] = δ[n] into the system. If the system is linear and time-invariant (terms we'll define later), then you can use the impulse response to find the output for any input, using a method called convolution that we'll learn in two weeks.
How do you find the frequency response output?
First we substitute s = jω into H(s) to obtain an expression of the frequency response. Note that the numerator and the denomator are both complex. To obtain the amplitude response, we take the absolute value of H(jω). To do this, we evaluate the magnitude of the numerator and the denominator separately.
Is frequency response the same as impulse response?
The impulse response is the response of a system to a single pulse of infinitely small duration and unit energy (a Dirac pulse). The frequency response shows how much each frequency is attenuated or amplified by the system. The frequency response of a system is the impulse response transformed to the frequency domain.
